Question

The length of the tangent to a circle from a point 17 on from its centre is
8 cm. Find the radius of the circle.​

Answer 1

Step-by-step explanation:

we know that radius is perpendicular to the tangent

and here we find the radius

AO = 17

AB = 8

by using Pythagoras therom

AO^2 = AB^2 + BO^2

BO^2 = AB^2 - AO^2

BO^2 = 17^2 - 8^2

BO^2 = 15^2

BO = 15

therefore the radius is 15

hope it help you